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Finding the Fourth Proportional to 52,529.31, 72,484.34 and 29,870.91

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Solution

The fourth proportional to 52,529.31, 72,484.34 and 29,870.91 is: 41,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,529.31 : 72,484.34 = 29,870.91 : x
  2. Step 2: Convert to fraction form
    52,529.31/72,484.34 = 29,870.91/x
  3. Step 3: Cross multiply
    52,529.31x = 72,484.34 × 29,870.91
  4. Step 4: Simplify right side
    52,529.31x = 2,165,173,047.19
  5. Step 5: Solve for x
    x = 2,165,173,047.19/52,529.31
  6. Step 6: Final answer
    x = 41,218.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.